Multilinear maps are mathematical functions that take multiple inputs from different vector spaces and produce a single output in a way that is linear in each input. This means that if you change one input while keeping the others fixed, the output changes linearly. They are commonly used in areas like linear algebra and tensor analysis. These maps can be represented as tensors, which are multi-dimensional arrays of numbers. A multilinear map can be thought of as a generalization of linear functions, extending the concept of linearity to multiple dimensions. They play a crucial role in various fields, including physics and computer science.